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Simplifying 4x + (3x + -1y) = 3 + i(-6) Remove parenthesis around (3x + -1y) 4x + 3x + -1y = 3 + i(-6) Combine like terms: 4x + 3x = 7x 7x + -1y = 3 + i(-6) Reorder the terms for easier multiplication: 7x + -1y = 3 + -6i Solving 7x + -1y = 3 + -6i Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'y' to each side of the equation. 7x + -1y + y = 3 + -6i + y Combine like terms: -1y + y = 0 7x + 0 = 3 + -6i + y 7x = 3 + -6i + y Divide each side by '7'. x = 0.4285714286 + -0.8571428571i + 0.1428571429y Simplifying x = 0.4285714286 + -0.8571428571i + 0.1428571429y
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